Crystal Plasticity Model and Simulations for Single Crystal Magnesium

To further investigate interaction and competition among various deformation modes in magnesium, a crystal plasticity model incorporating slip, twin, and secondary slip and twin systems is established. This study extends recent molecular dynamics findings to the crystal plasticity framework, introducing a new slip hardening model that incorporates twin boundaries. The proposed unified twin hardening model suitable for both tensile and compressive twins, considers twin stages of nucleation, propagation and growth, thereby simulating twin saturation and coexistence of multiple twin variants. Initially applied to single crystal magnesium, the numerical results agree with experimental findings by Kelley and Hosford, demonstrating twin saturation. We observe that plastic contributions from secondary slip and twin are smaller than those from slip and twins in the parent phase. Furthermore, the plastic contribution from pyramidal I slip is preferred to pyramidal II slip. Next, to study the serious influence of voids on the stress–strain response of ductile solids during manufacturing, the proposed model is then applied to single crystal magnesium containing a void along [Formula: see text]-axis tension and compression. Both simulations confirm the validity of our crystal plasticity model and its potential to analyze future experimental and molecular dynamic findings.